Question

Find the area of the shaded portion in the equilateral triangle with sides 6.
(assuming the central point of each arc is its corresponding vertex

Answer 1

diagram

Answer 2

first find the area of the triangle: 3sqrt3
Later find area of the arcs using formula: area sector = 1/2 *Pi/3*3^2 =3Pi/2
since there are 3 sectors, multiply are by 3: so not shaded region has area 9Pi/2
shaded region area = 9Pi/2-6sqrt3

Answer 3

answer is 3,74